Question

Write a coordinate rule that describes a dilation centered at P(5, -2) with a scale factor 3.

Answer 1

The coordinate rule for the dilation is x' = 3(x - 5) and y' = 3(y + 2).

Step-by-step explanation:

To write a coordinate rule for a dilation, we need to multiply the x and y coordinates of each point by the scale factor. In this case, the scale factor is 3 and the center of dilation is P(5, -2).

So, the coordinate rule would be:

x' = 3(x - 5)

y' = 3(y + 2)

This means that each new x coordinate would be obtained by subtracting 5 from the original x coordinate and then multiplying by 3.

Similarly, each new y coordinate would be obtained by adding 2 to the original y coordinate and then multiplying by 3.